(\partial)/(\partial x)(x^{0.5})

解答

\frac{\partial}{\partial x} (x^{0.5})

\frac{0.5}{x ^{0.5}}

求解步骤

\frac{\partial}{\partial x} (x^{0.5})

使用幂法则:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 0.5 x^{0.5 - 1}

化简

0.5 x^{0.5 - 1} : \frac{0.5}{x ^{0.5}}

= \frac{0.5}{x ^{0.5}}

x \to 0 lim (\frac{( 2 + x ) ^{2}}{x})

\int \frac{6}{x ^{3}} + 16 x^{3} d x

\frac{\partial}{\partial t} (e^{t} cos (t))

\int tan^{3} (x) \cdot sec^{3} (x) d x

t an g e n t 5 x^{3} 7 x, at x = 2